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The square root of 33 - 4 sqrt(35) is :...

The square root of `33 - 4 sqrt(35)` is :

A

`pm(sqrt7 -2sqrt5)`

B

`pm(2sqrt7-sqrt5)`

C

`pm(2sqrt7 +sqrt5)`

D

`pm(sqrt7 + 2sqrt5)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x = 33 - 4 sqrt35`
`rArr x = 33-2xx 2sqrt7xx sqrt5`
`rArrx = (2sqrt7)^2 + (sqrt5)^2 - 2 xx 2sqrt7 xxsqrt5`
`rArr xx = (2sqrt7-sqrt5)^2`
`sqrtx = sqrt((2sqrt7-sqrt5))`
`rArrsqrtx = pm(2sqrt77-sqrt5)`
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